Diffusion in a Power-Law fluid: a mathematical study

✍ Scribed by Eugene A. Harlacher; Alfred J. Engel

• Publisher: Elsevier Science
• Year: 1970
• Tongue: English
• Weight: 380 KB
• Volume: 25
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(70)85100-4

✦ Synopsis

mathematical model was constructed for calculating the diffusion coefficient of a solute in a non-Newtonian liquid. The model assumes that a tracer solution is centrally injected into a Power-Law fluid flowing laminarly through a circular pipe. The resulting Sturm-Liouville problem was solved by series expansion on a digital computer, but limitations in the computer storage restricted accurate results to the central low-shear-rate portion of the tube. These results are sufficient to calculate the diffusion coefficient at zero shear rate. but if the diffusion coefficient varies with shear rate, more terms in the expansion must be evaluated.